Which circuit would be best for providing the same amount of power (voltage) to all the components?
justify your answer with two pieces of evidence.

the green parts are 10 and the volts are 9.

It's very hard to read the component values in your picture.

If all the resistors have the same value, then either 'X' (all in series)
or 'Y' (all in parallel) deliver the same amount of power to each resistor.

Sadly, the question is somewhat misleading.

If several resistors all have the same voltage across each one, then
they DON't necessarily all dissipate the same amount of power.
There's more to it than that.

For example:

-- If I have two resistors ... a 5-ohm and a 10-ohm ... connected in parallel
   across a (big, heavy) 9-volt battery,
then
-- they both receive the same voltage (9 volts),
but
-- the 5-ohm resistor dissipates 16.2 watts of power,
and
-- the 10-ohm resistor dissipates 8.1 watts of power.

(I had to use a big, heavy 9-volt battery, because those little jobbies
with the snaps on top can't deliver that much power.) 

Is there a picture to go along with this